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Variance dynamics and term structure of the natural gas market

Author

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  • Shao, Chengwu
  • Bhar, Ramaprasad
  • Colwell, David B.
  • Sheng, Ni
  • Wei, Xinyang

Abstract

In this paper, we develop a stochastic model to investigate the variance dynamics and term structure of the US natural gas market. The model features two variance factors, the Samuelson effect, seasonality and linearly analytical pricing formula. With variance swap rates synthesized from options prices spanning more than 20 years, we show that the two-factor variance model has better performance and is preferred to describe the variance term structure. Moreover, we find that the two variance factors are particularly needed to capture humps in variance term curves implied from the market. Finally, we apply the two-factor model to hedging natural gas straddles and obtain improved performance. These results highlight the importance of introducing multiple variance factors to the natural gas market, and may be applied to other similar sectors.

Suggested Citation

  • Shao, Chengwu & Bhar, Ramaprasad & Colwell, David B. & Sheng, Ni & Wei, Xinyang, 2024. "Variance dynamics and term structure of the natural gas market," Energy Economics, Elsevier, vol. 137(C).
  • Handle: RePEc:eee:eneeco:v:137:y:2024:i:c:s0140988324004882
    DOI: 10.1016/j.eneco.2024.107780
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    1. Mark Britten‐Jones & Anthony Neuberger, 2000. "Option Prices, Implied Price Processes, and Stochastic Volatility," Journal of Finance, American Finance Association, vol. 55(2), pages 839-866, April.
    2. Cortazar, Gonzalo & Lopez, Matias & Naranjo, Lorenzo, 2017. "A multifactor stochastic volatility model of commodity prices," Energy Economics, Elsevier, vol. 67(C), pages 182-201.
    3. Rong Fan & Anurag Gupta & Peter Ritchken, 2003. "Hedging in the Possible Presence of Unspanned Stochastic Volatility: Evidence from Swaption Markets," Journal of Finance, American Finance Association, vol. 58(5), pages 2219-2248, October.
    4. Dew-Becker, Ian & Giglio, Stefano & Kelly, Bryan, 2021. "Hedging macroeconomic and financial uncertainty and volatility," Journal of Financial Economics, Elsevier, vol. 142(1), pages 23-45.
    5. Fabian Hollstein & Marcel Prokopczuk & Christoph Würsig, 2020. "Volatility term structures in commodity markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(4), pages 527-555, April.
    6. Prokopczuk, Marcel & Symeonidis, Lazaros & Wese Simen, Chardin, 2017. "Variance risk in commodity markets," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 136-149.
    7. Gonzalo Cortazar & Simon Gutierrez & Hector Ortega, 2016. "Empirical Performance of Commodity Pricing Models: When is it Worthwhile to Use a Stochastic Volatility Specification?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 36(5), pages 457-487, May.
    8. Anders B. Trolle & Eduardo S. Schwartz, 2009. "Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4423-4461, November.
    9. Back, Janis & Prokopczuk, Marcel & Rudolf, Markus, 2013. "Seasonality and the valuation of commodity options," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 273-290.
    10. Eduardo Schwartz & James E. Smith, 2000. "Short-Term Variations and Long-Term Dynamics in Commodity Prices," Management Science, INFORMS, vol. 46(7), pages 893-911, July.
    11. Hiroaki Suenaga & Aaron Smith & Jeffrey Williams, 2008. "Volatility dynamics of NYMEX natural gas futures prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(5), pages 438-463, May.
    12. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    13. Peter Christoffersen & Steven Heston & Kris Jacobs, 2009. "The Shape and Term Structure of the Index Option Smirk: Why Multifactor Stochastic Volatility Models Work So Well," Management Science, INFORMS, vol. 55(12), pages 1914-1932, December.
    14. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    15. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    16. Størdal, Ståle & Ewald, Christian-Oliver & Lien, Gudbrand & Haugom, Erik, 2023. "Trading time seasonality in electricity futures," Journal of Commodity Markets, Elsevier, vol. 31(C).
    17. Modjtahedi, Bagher & Movassagh, Nahid, 2005. "Natural-gas futures: Bias, predictive performance, and the theory of storage," Energy Economics, Elsevier, vol. 27(4), pages 617-637, July.
    18. Arismendi, Juan C. & Back, Janis & Prokopczuk, Marcel & Paschke, Raphael & Rudolf, Markus, 2016. "Seasonal Stochastic Volatility: Implications for the pricing of commodity options," Journal of Banking & Finance, Elsevier, vol. 66(C), pages 53-65.
    19. Ewald, Christian & Zou, Yihan, 2021. "Analytic formulas for futures and options for a linear quadratic jump diffusion model with seasonal stochastic volatility and convenience yield: Do fish jump?," European Journal of Operational Research, Elsevier, vol. 294(2), pages 801-815.
    20. Gatfaoui, Hayette, 2016. "Linking the gas and oil markets with the stock market: Investigating the U.S. relationship," Energy Economics, Elsevier, vol. 53(C), pages 5-16.
    21. Gibson, Rajna & Schwartz, Eduardo S, 1990. "Stochastic Convenience Yield and the Pricing of Oil Contingent Claims," Journal of Finance, American Finance Association, vol. 45(3), pages 959-976, July.
    22. Chiarella, Carl & Kang, Boda & Nikitopoulos, Christina Sklibosios & Tô, Thuy-Duong, 2013. "Humps in the volatility structure of the crude oil futures market: New evidence," Energy Economics, Elsevier, vol. 40(C), pages 989-1000.
    23. Ewald, Christian-Oliver & Haugom, Erik & Lien, Gudbrand & Størdal, Ståle & Wu, Yuexiang, 2022. "Trading time seasonality in commodity futures: An opportunity for arbitrage in the natural gas and crude oil markets?," Energy Economics, Elsevier, vol. 115(C).
    24. Joshua D. Coval & Tyler Shumway, 2001. "Expected Option Returns," Journal of Finance, American Finance Association, vol. 56(3), pages 983-1009, June.
    25. Feng, Gen-Fu & Wang, Quan-Jing & Chu, Yin & Wen, Jun & Chang, Chun-Ping, 2021. "Does the shale gas boom change the natural gas price-production relationship? Evidence from the U.S. market," Energy Economics, Elsevier, vol. 93(C).
    26. Kang, Boda & Nikitopoulos, Christina Sklibosios & Prokopczuk, Marcel, 2020. "Economic determinants of oil futures volatility: A term structure perspective," Energy Economics, Elsevier, vol. 88(C).
    27. Chyng Wen Tee & Christopher Ting, 2017. "Variance Risk Premiums of Commodity ETFs," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 37(5), pages 452-472, May.
    28. I-Hsuan Ethan Chiang & W. Keener Hughen & Jacob S. Sagi, 2015. "Estimating Oil Risk Factors Using Information from Equity and Derivatives Markets," Journal of Finance, American Finance Association, vol. 70(2), pages 769-804, April.
    29. Barone-Adesi, Giovanni & Whaley, Robert E, 1987. "Efficient Analytic Approximation of American Option Values," Journal of Finance, American Finance Association, vol. 42(2), pages 301-320, June.
    30. George J. Jiang & Yisong S. Tian, 2005. "The Model-Free Implied Volatility and Its Information Content," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1305-1342.
    31. Cortazar, Gonzalo & Kovacevic, Ivo & Schwartz, Eduardo S., 2015. "Expected commodity returns and pricing models," Energy Economics, Elsevier, vol. 49(C), pages 60-71.
    32. Prokopczuk, Marcel & Wese Simen, Chardin, 2014. "The importance of the volatility risk premium for volatility forecasting," Journal of Banking & Finance, Elsevier, vol. 40(C), pages 303-320.
    33. Hahn, Warren J. & DiLellio, James A. & Dyer, James S., 2018. "Risk premia in commodity price forecasts and their impact on valuation," Energy Economics, Elsevier, vol. 72(C), pages 393-403.
    34. Egloff, Daniel & Leippold, Markus & Wu, Liuren, 2010. "The Term Structure of Variance Swap Rates and Optimal Variance Swap Investments," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(5), pages 1279-1310, October.
    35. Duyvesteyn, Johan & de Zwart, Gerben, 2015. "Riding the swaption curve," Journal of Banking & Finance, Elsevier, vol. 59(C), pages 57-75.
    36. Martijn Cremers & Michael Halling & David Weinbaum, 2015. "Aggregate Jump and Volatility Risk in the Cross-Section of Stock Returns," Journal of Finance, American Finance Association, vol. 70(2), pages 577-614, April.
    37. Peter Carr & Liuren Wu, 2009. "Variance Risk Premiums," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1311-1341, March.
    38. Mu, Xiaoyi, 2007. "Weather, storage, and natural gas price dynamics: Fundamentals and volatility," Energy Economics, Elsevier, vol. 29(1), pages 46-63, January.
    39. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    40. Gonzalo Cortazar & Lorenzo Naranjo, 2006. "An N‐factor Gaussian model of oil futures prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(3), pages 243-268, March.
    41. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    42. Robert Brooks & Pavel Teterin, 2020. "Samuelson hypothesis, arbitrage activity, and futures term premiums," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(9), pages 1420-1441, September.
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    More about this item

    Keywords

    Natural gas; Two variance factors; Hump-shaped variance term structure; Hedging;
    All these keywords.

    JEL classification:

    • Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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